A tank has a total capacity of 100 L, but initially it contains 15 L of pure water Water flows into the tank 8 L per minute and contains 2 kg of salt. The solution in the tank is being mixed well. If the well-mixed solution in the tank exits 7 per minute: a) show how the differential equation below describes the concentration of: in the solution at any time t? 75 = 16 t - 15 ds dt b) determine the amount of salt (kilograms) in the solution just before th

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Author:Erwin Kreyszig
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A tank has a total capacity of 100 L, but initially it contains 15 L of pure water.
Water flows into the tank 8 L per minute and contains 2 kg of salt. The solution
in the tank is being mixed well. If the well-mixed solution in the tank exits 7 L
per minute:
a) show how the differential equation below describes the concentration of S
in the solution at any time t?
ds
75
= 16
t - 15
dt
b) determine the amount of salt (kilograms) in the solution just before the
tank overflows. Express your answers accurate to four decimal places.
Transcribed Image Text:A tank has a total capacity of 100 L, but initially it contains 15 L of pure water. Water flows into the tank 8 L per minute and contains 2 kg of salt. The solution in the tank is being mixed well. If the well-mixed solution in the tank exits 7 L per minute: a) show how the differential equation below describes the concentration of S in the solution at any time t? ds 75 = 16 t - 15 dt b) determine the amount of salt (kilograms) in the solution just before the tank overflows. Express your answers accurate to four decimal places.
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